Find the wrong term in sequence: $33,88,121,187,287,341$
$A.88$
B.$121$
C.$187$
D.$287$
Answer
607.8k+ views
Hint: Firstly, we will see which pattern is following in the given sequence. Further we will find that term which did not follow the pattern and give the answer .
Complete step by step solution:
The given sequence is:$33,88,121,187,287341$.
Here, we will find the wrong term by using mathematical tricks.
We can also write the above series as$11 \times 3,\,11 \times 8,\,11 \times 11,\,\,11 \times 17,\,41 \times 7,\,71 \times 31$
As we can clearly identify that all numbers are multiple of $11$except one number.
Therefore, $287$is the wrong term.
Hence, the correct option is D.
Additional information: Number pattern is a pattern or a sequence in a series of numbers .This pattern generally establishes a common relationship between all numbers. Examples are:
(i)$11,17,23,29,35,41,47,53$
In the given pattern, the sequence is increased by $6$. The addition of the number $6$ to the previous number gives the succeeding number.
(ii) $0,2,4,6,8,10$
In the given pattern, skip counting $2$. So, we can multiply $2$ from the previous term to get the next term.
(iii) $12,10,8,6,4,2,0$
In this number pattern, we can see that every term in the sequence has reduced by $2$.So, we can subtract $2$ from the previous term to get the next term.
Note: Students, we have to keep in mind that the people who have given us the sequence follow some pattern. That pattern can also be of adding $2$ digits among themselves .They may also be a subtracted,they may also be multiplied. So, first of all we have to fix that which pattern is being followed there.
Complete step by step solution:
The given sequence is:$33,88,121,187,287341$.
Here, we will find the wrong term by using mathematical tricks.
We can also write the above series as$11 \times 3,\,11 \times 8,\,11 \times 11,\,\,11 \times 17,\,41 \times 7,\,71 \times 31$
As we can clearly identify that all numbers are multiple of $11$except one number.
Therefore, $287$is the wrong term.
Hence, the correct option is D.
Additional information: Number pattern is a pattern or a sequence in a series of numbers .This pattern generally establishes a common relationship between all numbers. Examples are:
(i)$11,17,23,29,35,41,47,53$
In the given pattern, the sequence is increased by $6$. The addition of the number $6$ to the previous number gives the succeeding number.
(ii) $0,2,4,6,8,10$
In the given pattern, skip counting $2$. So, we can multiply $2$ from the previous term to get the next term.
(iii) $12,10,8,6,4,2,0$
In this number pattern, we can see that every term in the sequence has reduced by $2$.So, we can subtract $2$ from the previous term to get the next term.
Note: Students, we have to keep in mind that the people who have given us the sequence follow some pattern. That pattern can also be of adding $2$ digits among themselves .They may also be a subtracted,they may also be multiplied. So, first of all we have to fix that which pattern is being followed there.
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